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KCET2023MathematicsFunctions

If f(x)=a x+b , where a and b are integers, f(-1)=-5 and f( )=3 , then a and b are respectively

Options

  1. A2,-3
  2. B0,2
  3. C2,3
  4. D-3,-1

Correct answer

A. 2,-3

Step-by-step solution

Given, f(x)=a x+b , where a and b are integers, f(-1)=-5 and f(3)=3 We have, f(x)=a x+b Put, x=-1 in above equation, we get aligned f(-1) & =a(-1)+b -5 & =-a+b aligned Now, f(3)=33=3 a+b From Eqs. (i) and (ii), we get a=2, b=a-5=2-5=-3

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